Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 mean, median, mode & range worksheet.
Year 7 Mean, Median, Mode and Range Worksheet — Level 3 — Practice Set 3 — Answers
Order the data first. Show your working for each measure.
1.Data: 18, 5, 35, 12, 38, 43, 42. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 27.57; median 35; mode no mode; range 38
- Mean: 193 ÷ 7 = 27.57
- Ordered: 5, 12, 18, 35, 38, 42, 43 → median 35
- Mode: no mode
- Range: 43 − 5 = 38
2.Data: 32, 19, 23, 18, 23, 42, 35. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 27.43; median 23; mode 23; range 24
- Mean: 192 ÷ 7 = 27.43
- Ordered: 18, 19, 23, 23, 32, 35, 42 → median 23
- Mode: 23
- Range: 42 − 18 = 24
3.Data: 40, 38, 40, 8, 19, 33, 39. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 31; median 38; mode 40; range 32
- Mean: 217 ÷ 7 = 31
- Ordered: 8, 19, 33, 38, 39, 40, 40 → median 38
- Mode: 40
- Range: 40 − 8 = 32
4.Data: 31, 31, 5, 17, 47, 16. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 24.5; median 24; mode 31; range 42
- Mean: 147 ÷ 6 = 24.5
- Ordered: 5, 16, 17, 31, 31, 47 → median 24
- Mode: 31
- Range: 47 − 5 = 42
5.Data: 48, 14, 45, 12, 29, 29. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 29.5; median 29; mode 29; range 36
- Mean: 177 ÷ 6 = 29.5
- Ordered: 12, 14, 29, 29, 45, 48 → median 29
- Mode: 29
- Range: 48 − 12 = 36
6.Data: 26, 35, 30, 34, 25, 2, 12. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 23.43; median 26; mode no mode; range 33
- Mean: 164 ÷ 7 = 23.43
- Ordered: 2, 12, 25, 26, 30, 34, 35 → median 26
- Mode: no mode
- Range: 35 − 2 = 33
7.Data: 3, 9, 5, 42, 7, 29. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 15.83; median 8; mode no mode; range 39
- Mean: 95 ÷ 6 = 15.83
- Ordered: 3, 5, 7, 9, 29, 42 → median 8
- Mode: no mode
- Range: 42 − 3 = 39
8.Data: 1, 15, 15, 18, 15, 43, 26, 2. Find the (a) mean, (b) median, (c) mode and (d) range.
Answer: mean 16.88; median 15; mode 15; range 42
- Mean: 135 ÷ 8 = 16.88
- Ordered: 1, 2, 15, 15, 15, 18, 26, 43 → median 15
- Mode: 15
- Range: 43 − 1 = 42
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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